1. A radical is in its simplified form when it has no exponents in the numerator, no radicals in the numerator and it contains no fractions.

2. For the problem below, 1 is an extraneous solution and the solution is 2 and 9.

Square root of 2x + 9 - Square root of x + 1 = 2

3. When an expression contains a radical in its denominator we need to immediately find the LCD to eliminate the radical. What is this process called?

2. Please reply with the definition of "radical" (in particular, does this mean any root, or specifically just the square root), along with your thoughts and questions for the first two exercises. (The third is just a vocabulary question, for which you can find the answer by reviewing your book and / or your class notes.)

Thank you!